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Finding the Third Proportional to 142,399.50 and 303,207

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Solution

The third proportional to 142,399.50 and 303,207 is: 645,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,399.50 : 303,207 = 303,207 : x
  2. Step 2: Convert to fraction form
    142,399.50/303,207 = 303,207/x
  3. Step 3: Cross multiply
    142,399.50x = 303,207 × 303,207
  4. Step 4: Simplify right side
    142,399.50x = 91,934,484,849
  5. Step 5: Solve for x
    x = 91,934,484,849/142,399.50
  6. Step 6: Final answer
    x = 645,609.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.